A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

Godlovesme

  • one year ago

help pweaseee D: Andy has two similar conical hats, Hat A and Hat B. The diameter of Hat A is 18 inches, and the diameter of Hat B is 9 inches. What is the ratio of the volume of Hat A to the volume of Hat B? 2:1 16:1 4:1 8:1

  • This Question is Closed
  1. nuttyliaczar
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    Volume of a cone is \[\pi*r ^{2}*h/3\]

  2. nuttyliaczar
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    And diameter is just 2r, so for hat A r=9 in and hat B r=4.5 in

  3. Godlovesme
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    im following :)

  4. nuttyliaczar
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    Set up an equation that has volume on both sides like so: \[\pi*r _{A}^{2}*h/3=\pi*r _{B}^{2}*h/3\]

  5. nuttyliaczar
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    As you can see, the pi and h/3 will cancel out once you divide both sides by them. Then you are left with r^2 on each side for the respective cones.

  6. nuttyliaczar
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    And you can take it from there =P

  7. Godlovesme
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok one sec :D

  8. Godlovesme
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so it would be.. \[9^2 = 4.5^2\] which will simplify to \[4:1\] ? :D

  9. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    smarty pants :3

  10. Godlovesme
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    X'D

  11. Godlovesme
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    thanks guys :))

  12. nuttyliaczar
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    Yeah you got it!

  13. nuttyliaczar
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    Every ratio type problem can be handled this way

  14. Godlovesme
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    alright thank you so much :))

  15. Godlovesme
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    it wasnt 4:1 :( .. oh well thanks though :)

  16. Godlovesme
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    XDD

  17. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    :O oha! how so?

  18. nuttyliaczar
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    Hmm is it not? Let me plug everything in myself

  19. Godlovesme
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    no idea @annas and @nuttyliaczar no worries its fine , unless u want to check it :3

  20. nuttyliaczar
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    I just checked and still got 4:1

  21. Godlovesme
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i'll asj my teacher, thanks anyways :)

  22. Godlovesme
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    annas cookies *_*

  23. nuttyliaczar
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    Volume for A = pi*r^2*h/3 = 254.469*h/3 Volume for B = pi*r^2*h/3 = 63.617*h/3

  24. nuttyliaczar
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    Dividing them gives 4/1 so... I'm not sure why that was wrong

  25. Godlovesme
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    its ok i'll talk to my teacher :) thanks though i really appreciate ur help guys :)

  26. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.